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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Mon, 19 May 2008 12:56:41 -0600

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/19/t1211223609qf3jzlmybs9cw9k.htm/, Retrieved Tue, 14 May 2024 11:53:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12917, Retrieved Tue, 14 May 2024 11:53:55 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

standaard devviation mean plot gem prijs kinderfiets

Estimated Impact

167

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Standard Deviation-Mean Plot] [hans Van de Paer ...] [2008-05-19 18:56:41] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12917&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12917&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12917&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	219.4825	0.659712402904062	2.26999999999998
2	231.9125	4.36342468710072	13.78
3	236.39	1.04335124391636	3.16000000000000
4	237.3	0.179494238955408	0.629999999999995
5	239.916666666667	1.03807806094053	3.56999999999999
6	241.463333333333	0.690063677342813	2.38000000000002

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 219.4825 & 0.659712402904062 & 2.26999999999998 \tabularnewline
2 & 231.9125 & 4.36342468710072 & 13.78 \tabularnewline
3 & 236.39 & 1.04335124391636 & 3.16000000000000 \tabularnewline
4 & 237.3 & 0.179494238955408 & 0.629999999999995 \tabularnewline
5 & 239.916666666667 & 1.03807806094053 & 3.56999999999999 \tabularnewline
6 & 241.463333333333 & 0.690063677342813 & 2.38000000000002 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12917&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]219.4825[/C][C]0.659712402904062[/C][C]2.26999999999998[/C][/ROW]
[ROW][C]2[/C][C]231.9125[/C][C]4.36342468710072[/C][C]13.78[/C][/ROW]
[ROW][C]3[/C][C]236.39[/C][C]1.04335124391636[/C][C]3.16000000000000[/C][/ROW]
[ROW][C]4[/C][C]237.3[/C][C]0.179494238955408[/C][C]0.629999999999995[/C][/ROW]
[ROW][C]5[/C][C]239.916666666667[/C][C]1.03807806094053[/C][C]3.56999999999999[/C][/ROW]
[ROW][C]6[/C][C]241.463333333333[/C][C]0.690063677342813[/C][C]2.38000000000002[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12917&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12917&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	219.4825	0.659712402904062	2.26999999999998
2	231.9125	4.36342468710072	13.78
3	236.39	1.04335124391636	3.16000000000000
4	237.3	0.179494238955408	0.629999999999995
5	239.916666666667	1.03807806094053	3.56999999999999
6	241.463333333333	0.690063677342813	2.38000000000002

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	6.86011873797277
beta	-0.0235957440225507
S.D.	0.0940518551690239
T-STAT	-0.250880155209548
p-value	0.814267078023193

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6.86011873797277 \tabularnewline
beta & -0.0235957440225507 \tabularnewline
S.D. & 0.0940518551690239 \tabularnewline
T-STAT & -0.250880155209548 \tabularnewline
p-value & 0.814267078023193 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12917&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.86011873797277[/C][/ROW]
[ROW][C]beta[/C][C]-0.0235957440225507[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0940518551690239[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.250880155209548[/C][/ROW]
[ROW][C]p-value[/C][C]0.814267078023193[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12917&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12917&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	6.86011873797277
beta	-0.0235957440225507
S.D.	0.0940518551690239
T-STAT	-0.250880155209548
p-value	0.814267078023193

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	17.51996801924
beta	-3.23986128834096
S.D.	14.6481504158300
T-STAT	-0.221178865342597
p-value	0.83578506050084
Lambda	4.23986128834096

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 17.51996801924 \tabularnewline
beta & -3.23986128834096 \tabularnewline
S.D. & 14.6481504158300 \tabularnewline
T-STAT & -0.221178865342597 \tabularnewline
p-value & 0.83578506050084 \tabularnewline
Lambda & 4.23986128834096 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12917&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]17.51996801924[/C][/ROW]
[ROW][C]beta[/C][C]-3.23986128834096[/C][/ROW]
[ROW][C]S.D.[/C][C]14.6481504158300[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.221178865342597[/C][/ROW]
[ROW][C]p-value[/C][C]0.83578506050084[/C][/ROW]
[ROW][C]Lambda[/C][C]4.23986128834096[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12917&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12917&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	17.51996801924
beta	-3.23986128834096
S.D.	14.6481504158300
T-STAT	-0.221178865342597
p-value	0.83578506050084
Lambda	4.23986128834096

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')

Free Statistics

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code